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290237312 = 2719131911
BaseRepresentation
bin10001010011001…
…010101110000000
3202020010120202002
4101103022232000
51043300043222
644444443132
710122655631
oct2123125600
9666116662
10290237312
11139916652
12812494a8
1348190271
142a791888
151a731392
hex114cab80

290237312 has 64 divisors (see below), whose sum is σ = 613958400. Its totient is φ = 136281600.

The previous prime is 290237309. The next prime is 290237317. The reversal of 290237312 is 213732092.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290237317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318137 + ... + 319047.

It is an arithmetic number, because the mean of its divisors is an integer number (9593100).

Almost surely, 2290237312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290237312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306979200).

290237312 is an abundant number, since it is smaller than the sum of its proper divisors (323721088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

290237312 is a wasteful number, since it uses less digits than its factorization.

290237312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 290237312 is about 17036.3526612946. The cubic root of 290237312 is about 662.0910965263.

The spelling of 290237312 in words is "two hundred ninety million, two hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 131 152 262 304 524 608 911 1048 1216 1822 2096 2432 2489 3644 4192 4978 7288 8384 9956 14576 16768 17309 19912 29152 34618 39824 58304 69236 79648 116608 119341 138472 159296 238682 276944 318592 477364 553888 954728 1107776 1909456 2215552 2267479 3818912 4534958 7637824 9069916 15275648 18139832 36279664 72559328 145118656 290237312